分数阶Chen超混沌系统动态分析及其电路实现  

Dynamic Analysis and Circuit Implementation of Fractional Order Chen Hyperchaotic System

作　　者：蒋逢灵[1,2] 刘贤群 刘沅明 JIANG Fengling;LIU Xianqun;LIU Yuanming(Hunan Vocational College of Railway Technology,Zhuzhou 412006,China;Hunan Highspeed Railway Engineering and Technology Research Center for Operating Safety,Zhuzhou 412006,China)

机构地区：[1]湖南铁路科技职业技术学院,湖南株洲412006 [2]湖南省高铁运行安全保障工程技术研究中心,湖南株洲412006

出　　处：《电工技术》2024年第8期18-21,共4页Electric Engineering

基　　金：湖南省自然科学基金资助项目“基于量子混沌密钥加密改善铁路通信信号安全性研究”(编号2022JJ60009)。

摘　　要：分数阶超混沌系统比低维混沌系统具有更加复杂的动力学特性,在工程中的应用前景更加广阔。运用非线性系统李雅普诺夫指数计算原理,分析了0.96阶次超混沌系统复杂的动力学特性。同时,基于分数阶微分时频域转换算法,在Multisim仿真平台中设计了分数阶Chen超混沌系统的电路模型并通过示波器观看到了超混沌吸引子,电路实验结果与数值仿真结果完全吻合。Fractional order hyperchaotic systems have more complex dynamic characteristics and greater engineering applicative potential than low dimensional chaotic systems.In this study,the complex dynamic characteristics of 0.96 order hyperchaotic system were analyzed by using the calculation principle of Lyapunov exponent of nonlinear system.In addition,based on fractional order differential time-frequency conversion algorithm,the circuit model of the fractional order Chen hyperchaotic system was designed in the Multisim simulation platform,and the hyperchaotic attractor was observed through oscilloscope.It was also achieved complete consistency between the circuit experimental results and the numerical simulation results.

关 键 词：分数阶超系统 动态仿真 MULTISIM 电路实现 

分 类 号：O415.5[理学—理论物理]